Pith Number

pith:TMIOBQIG

pith:2026:TMIOBQIGBKVDMZP2WFS5LZUDSV

not attested not anchored not stored refs pending

Effective spherical symmetry in Loop Quantum Gravity: A path integral approach

Hugo A. Morales, Juan Carlos Del \'Aguila

arxiv:2605.20814 v1 · 2026-05-20 · gr-qc

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TMIOBQIGBKVDMZP2WFS5LZUDSV}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-21T01:04:55.959826Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b10e0c1060aaa3665fab165d5e6839544ee8dd36b9a8a6a79826db49dd449d5

Aliases

arxiv: 2605.20814 · arxiv_version: 2605.20814v1 · doi: 10.48550/arxiv.2605.20814 · pith_short_12: TMIOBQIGBKVD · pith_short_16: TMIOBQIGBKVDMZP2 · pith_short_8: TMIOBQIG

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/TMIOBQIGBKVDMZP2WFS5LZUDSV \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 9b10e0c1060aaa3665fab165d5e6839544ee8dd36b9a8a6a79826db49dd449d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "295e8236eea14b98bdc77983e63b55122e3956bc8b05170be7e65760f025c422",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-05-20T07:09:47Z",
    "title_canon_sha256": "be1f1bebe19dc793307b9ea8fbf6502241e3967e8ec420f7161a37cc519357bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.20814",
    "kind": "arxiv",
    "version": 1
  }
}